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Finding the Third Proportional to 1,538,984 and 2,299,860

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Solution

The third proportional to 1,538,984 and 2,299,860 is: 3,436,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,984 : 2,299,860 = 2,299,860 : x
  2. Step 2: Convert to fraction form
    1,538,984/2,299,860 = 2,299,860/x
  3. Step 3: Cross multiply
    1,538,984x = 2,299,860 × 2,299,860
  4. Step 4: Simplify right side
    1,538,984x = 5,289,356,019,600
  5. Step 5: Solve for x
    x = 5,289,356,019,600/1,538,984
  6. Step 6: Final answer
    x = 3,436,914.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.